FERMION-BOSON INTERACTIONS IN A SOLVABLE MODEL

The interplay between fermionic and bosonic degrees of freedom, in the context of many-body systems and with reference to applications in nu clear and elementary particle physics, is revisited. Starting from the formulation due to Geyer, Hahne, and co-workers, bifermion operators which obey bosonic transformation rules are introduced. Fermion-boson coupling terms are included in the original Hamiltonian. Exact solutio ns to this Hamiltonian are compared to approximate ones. The occurrenc e of fermion and boson condensates is discussed. [S0556-2813(98)03411- 6].